Symmetry of coherent vortices in plane couette flow

Tomoaki Itano*, Sotos Generalis, Sodoyashi Toh, John P. Fletcher

*Corresponding author for this work

Research output: Chapter in Book/Published conference outputConference publication


A numerical continuation method is carried out in a homotopy space connecting two different flows, the Plane Couette Flow (PCF) and the Laterally Heated Flow in a vertical slot (LHF). This numerical continuation method enables us to obtain an exact steady solution in PCF. The new solution has the shape of hairpin vortices (HVS: hairpin vortex solution), which is observed ubiquitously in turbulent shear flows.
Original languageEnglish
Title of host publicationAdvances in Turbulence XII: Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany
EditorsBruno Eckhardt
Place of PublicationBerlin (DE)
Number of pages4
ISBN (Print)9783642030840
Publication statusPublished - 2009
Event12th EUROMECH European Turbulence Conference, ETC12 2009 - Marburg, Germany
Duration: 7 Sept 200910 Sept 2009

Publication series

NameSpringer Proceedings in Physics
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941


Conference12th EUROMECH European Turbulence Conference, ETC12 2009

Bibliographical note

© 2009, Springer-Verlag Berlin Heidelberg.

Funding Information:
Both of us would like to dedicate the result to our families, whose continued support enabled us to research in the field of canonical shear flows. In particular we are grateful to our fathers who over the years installed on us the enthusiasm to pursue vigorously the unknown in order to establish the truth. T.I. is grateful for the financial support received from Aston University under the Visiting Scholars Fund Scheme and EPSRC (GR/S70593/01). S.C.G. is grateful to a Research Invitation from the Kansai University. This work has been also supported in part by KAKENHI (19760123).


  • Coherent Vortex
  • Hairpin Vortex
  • Turbulent Shear
  • Vortex Line
  • Vortex Solution


Dive into the research topics of 'Symmetry of coherent vortices in plane couette flow'. Together they form a unique fingerprint.

Cite this